Step1 Half life of C14 = 5720 years ;Rate constant = [.6931/5720] Step2 Initial concentration is proportional to 1430 and final concentration is proportional to 452. Step3 t = [2.303 x5720/.6931] log[1430/452] years Solution Step1 Half life of C14 = 5720 years ;Rate constant = [.6931/5720] Step2 Initial concentration is proportional to 1430 and final concentration is proportional to 452. Step3 t = [2.303 x5720/.6931] log[1430/452] years.